Geodesic
Terminal value problem for neutral fractional functional differential equations with Hilfer-Katugampola fractional derivative
Filomat, Tome 37 (2023) no. 21, p. 7131

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DOI

In this paper, we establish the existence of solutions for a class of nonlinear neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative. The arguments are based upon the Banach contraction principle, and Krasnoselskii's fixed point theorem. An example is included to show the applicability of our results.
DOI : 10.2298/FIL2321131B
Classification : 26A33, 34A08, 34K37
Keywords: Hilfer-Katugampola fractional derivative, neutral fractional differential equations, existence, uniqueness, fixed point 
Soufyane Bouriah; Mouffak Benchohra; Selma Gülyaz Özyurt. Terminal value problem for neutral fractional functional differential equations with Hilfer-Katugampola fractional derivative. Filomat, Tome 37 (2023) no. 21, p. 7131 . doi: 10.2298/FIL2321131B
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     title = {Terminal value problem for neutral fractional functional differential equations with {Hilfer-Katugampola} fractional derivative},
     journal = {Filomat},
     pages = {7131 },
     year = {2023},
     volume = {37},
     number = {21},
     doi = {10.2298/FIL2321131B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2321131B/}
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